依题意可得a^2/c+b^2/2007-c=（a+b)²/c+（2007-c）a²×2007-c/c+b²×c/2007-c=2ab,a^2/c^2+b^2/（2007-c）^2-2ab/(2007-c)c=0（a/c-b/2007-c)²=0所以a/c=b/2007-c又因为a+b=1所以a=c/2007b=2007...